Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41280bx |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-608447226052800 = -1 · 26 · 314 · 52 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 5 -1 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-67121,-6775305] |
[a1,a2,a3,a4,a6] |
j |
-522547125460258816/9506987907075 |
j-invariant |
L |
2.3703129189473 |
L(r)(E,1)/r! |
Ω |
0.14814455742761 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41280bc1 10320bf1 123840fu1 |
Quadratic twists by: -4 8 -3 |